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10131201450 = 23252311136427
BaseRepresentation
bin10010110111101110…
…11101110110101010
3222011001122100200100
421123313131312222
5131222041421300
64353150450230
7506026535316
oct113367356652
928131570610
1010131201450
114329887667
121b68b03976
13c55c36a76
146c1756b46
153e4677700
hex25bddddaa

10131201450 has 144 divisors (see below), whose sum is σ = 28350256896. Its totient is φ = 2590963200.

The previous prime is 10131201439. The next prime is 10131201463. The reversal of 10131201450 is 5410213101.

10131201450 is a `hidden beast` number, since 1 + 0 + 13 + 1 + 201 + 450 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1573137 + ... + 1579563.

It is an arithmetic number, because the mean of its divisors is an integer number (196876784).

Almost surely, 210131201450 is an apocalyptic number.

10131201450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131201450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14175128448).

10131201450 is an abundant number, since it is smaller than the sum of its proper divisors (18219055446).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10131201450 is a wasteful number, since it uses less digits than its factorization.

10131201450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6589 (or 6581 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10131201450 its reverse (5410213101), we get a palindrome (15541414551).

The spelling of 10131201450 in words is "ten billion, one hundred thirty-one million, two hundred one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 113 150 155 186 225 226 279 310 339 450 465 558 565 678 775 930 1017 1130 1395 1550 1695 2034 2325 2790 2825 3390 3503 4650 5085 5650 6427 6975 7006 8475 10170 10509 12854 13950 16950 17515 19281 21018 25425 31527 32135 35030 38562 50850 52545 57843 63054 64270 87575 96405 105090 115686 157635 160675 175150 192810 199237 262725 289215 315270 321350 398474 482025 525450 578430 597711 726251 788175 964050 996185 1195422 1446075 1452502 1576350 1793133 1992370 2178753 2892150 2988555 3586266 3631255 4357506 4980925 5977110 6536259 7262510 8965665 9961850 10893765 13072518 14942775 17931330 18156275 21787530 22513781 29885550 32681295 36312550 44828325 45027562 54468825 65362590 67541343 89656650 108937650 112568905 135082686 163406475 202624029 225137810 326812950 337706715 405248058 562844525 675413430 1013120145 1125689050 1688533575 2026240290 3377067150 5065600725 10131201450